For obvious reasons, use the bathroom of your gender. If you feel uncomfortable, go back to your hotel room.

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Lewis Black: "There is no such thing as bad language. I don't believe that anymore. It's ridiculous. They call it a debasing of the language. No! We are adults. These are the words we use... to express: frustration, rage, and anger... in order that we don't pick up a tire and beat the s**t out of someone."

I would feel uncomfortable if a guy, even a crossplaying guy was to use the women's bathroom while I was in there. Call me hyper-sensitive if you want, but I'd be afraid it was a perverts elaborate way to spy on women. *looks around*

Also, it can be construed as sexual harassment and you could possibly get arrested. So you should do the legal thing and stick the the bathroom assigned to your legal sex. If you don't want to make guys feel uncomfortable, use a stall.